<PRE><B>Question 400708</B>
A new circular fountain is being designed for a park.
 Suppose the designer of the fountain decides that the surface area of the
 water in the fountain should be 450 sq ft.
 Find the diameter of the fountain. explain how you found the diameter....
:
The area of a circle, {{{pi*r^2}}} = A
In this problem
{{{pi*r^2}}} = 450
:
Divide both sides by pi
{{{r^2 = 450/pi}}}
:
Divide 450 by pi
r^2 = 143.239
:
Find the square root of both sides
r = {{{sqrt(143.239)}}}
r = 11.968 is the radius
:
but they asked for the diameter
2 * 11.968 = 23.936 ft is the diameter
:
:
Check solution by finding the area with r=11.968 using a calc:
{{{pi*11.968^2}}} = 449.98 ~ 450
 </PRE>